> I think that the OP's problem stems from trying to use the formulas> where they do not apply. He does not have an iid sample, because the> only combinations he looks at are those in which there are no> repetitions; that is, he is sampling *without replacement* (he does not> allow things like (1,1,1); he only allows things like (1,2,3).) That> makes his successive sample values dependent instead of independent, so> the formulas he cites (which assume _independence_) do not apply.